





'''simple docstring'''


from .integrations import (
    is_optuna_available,
    is_ray_available,
    is_sigopt_available,
    is_wandb_available,
    run_hp_search_optuna,
    run_hp_search_ray,
    run_hp_search_sigopt,
    run_hp_search_wandb,
)
from .trainer_utils import (
    HPSearchBackend,
    default_hp_space_optuna,
    default_hp_space_ray,
    default_hp_space_sigopt,
    default_hp_space_wandb,
)
from .utils import logging


lowerCAmelCase_ : int	  =       logging.get_logger(__name__)






class    UpperCamelCase__	:
	lowerCAmelCase__       :      str
	lowerCAmelCase__       :      str										=    None







	@staticmethod
	def     __a (					):




				'''simple docstring'''
				raise NotImplementedError







	def     __a (					self      : Optional[int]			,			lowerCamelCase      : Dict			,			lowerCamelCase      : Dict			,			lowerCamelCase      : List[str]			,			**lowerCamelCase      : List[str]		):




				'''simple docstring'''
				raise NotImplementedError







	def     __a (					self      : Optional[Any]			,			lowerCamelCase      : List[Any]		):




				'''simple docstring'''
				raise NotImplementedError







	def     __a (					self      : Dict		):




				'''simple docstring'''
				if not self.is_available():
							raise RuntimeError(
							    F'''You picked the {self.name} backend, but it is not installed. Run {self.pip_install()}.'''		)







	@classmethod
	def     __a (					cls      : List[str]		):




				'''simple docstring'''
				return F'''`pip install {cls.pip_package or cls.name}`'''






class    UpperCamelCase__	(		__lowerCAmelCase  ):
	lowerCAmelCase__       :      Dict										=    '''optuna'''







	@staticmethod
	def     __a (					):




				'''simple docstring'''
				return is_optuna_available()







	def     __a (					self      : Union[str, Any]			,			lowerCamelCase      : Optional[Any]			,			lowerCamelCase      : List[Any]			,			lowerCamelCase      : List[str]			,			**lowerCamelCase      : Tuple		):




				'''simple docstring'''
				return run_hp_search_optuna(_lowerCamelCase			,			_lowerCamelCase			,			_lowerCamelCase			,			**_lowerCamelCase		)







	def     __a (					self      : Tuple			,			lowerCamelCase      : Union[str, Any]		):




				'''simple docstring'''
				return default_hp_space_optuna(_lowerCamelCase		)






class    UpperCamelCase__	(		__lowerCAmelCase  ):
	lowerCAmelCase__       :      Optional[int]										=    '''ray'''
	lowerCAmelCase__       :      List[Any]										=    '''\'ray[tune]\''''







	@staticmethod
	def     __a (					):




				'''simple docstring'''
				return is_ray_available()







	def     __a (					self      : Any			,			lowerCamelCase      : List[Any]			,			lowerCamelCase      : Union[str, Any]			,			lowerCamelCase      : int			,			**lowerCamelCase      : Dict		):




				'''simple docstring'''
				return run_hp_search_ray(_lowerCamelCase			,			_lowerCamelCase			,			_lowerCamelCase			,			**_lowerCamelCase		)







	def     __a (					self      : Optional[int]			,			lowerCamelCase      : List[str]		):




				'''simple docstring'''
				return default_hp_space_ray(_lowerCamelCase		)






class    UpperCamelCase__	(		__lowerCAmelCase  ):
	lowerCAmelCase__       :      str										=    '''sigopt'''







	@staticmethod
	def     __a (					):




				'''simple docstring'''
				return is_sigopt_available()







	def     __a (					self      : Any			,			lowerCamelCase      : str			,			lowerCamelCase      : int			,			lowerCamelCase      : Any			,			**lowerCamelCase      : Optional[int]		):




				'''simple docstring'''
				return run_hp_search_sigopt(_lowerCamelCase			,			_lowerCamelCase			,			_lowerCamelCase			,			**_lowerCamelCase		)







	def     __a (					self      : str			,			lowerCamelCase      : List[Any]		):




				'''simple docstring'''
				return default_hp_space_sigopt(_lowerCamelCase		)






class    UpperCamelCase__	(		__lowerCAmelCase  ):
	lowerCAmelCase__       :      Union[str, Any]										=    '''wandb'''







	@staticmethod
	def     __a (					):




				'''simple docstring'''
				return is_wandb_available()







	def     __a (					self      : str			,			lowerCamelCase      : Optional[Any]			,			lowerCamelCase      : Any			,			lowerCamelCase      : Optional[int]			,			**lowerCamelCase      : List[str]		):




				'''simple docstring'''
				return run_hp_search_wandb(_lowerCamelCase			,			_lowerCamelCase			,			_lowerCamelCase			,			**_lowerCamelCase		)







	def     __a (					self      : Any			,			lowerCamelCase      : Tuple		):




				'''simple docstring'''
				return default_hp_space_wandb(_lowerCamelCase		)





lowerCAmelCase_ : Optional[int]	  =       {
    HPSearchBackend(backend.name): backend for backend in [OptunaBackend, RayTuneBackend, SigOptBackend, WandbBackend]
}







def  _lowerCamelCase	() ->     str:
			a__	 =			[backend for backend in ALL_HYPERPARAMETER_SEARCH_BACKENDS.values() if backend.is_available()]
			if len(__lowerCAmelCase  ) > 0:
						a__	 =			available_backends[0].name
						if len(__lowerCAmelCase  ) > 1:
									logger.info(
									    f'''{len(__lowerCAmelCase  )} hyperparameter search backends available. Using {name} as the default.'''  )
						return name
			raise RuntimeError(
			    "No hyperparameter search backend available.\n"
			    + "\n".join(
			        f''' - To install {backend.name} run {backend.pip_install()}'''
			        for backend in ALL_HYPERPARAMETER_SEARCH_BACKENDS.values()  )  )




"""simple docstring"""


from collections.abc import Callable
from math import pi, sqrt
from random import uniform
from statistics import mean





def      lowerCamelCase_					(   __lowerCAmelCase							)				->   List[Any]:




						'''simple docstring'''



						def is_in_circle(__lowerCAmelCase  ,       __lowerCAmelCase							) -> bool:
												lowerCamelCase__   =sqrt((x**2) + (y**2)							)
												# Our circle has a radius of 1, so a distance
												# greater than 1 would land outside the circle.
												return distance_from_centre <= 1

						# The proportion of guesses that landed in the circle
						lowerCamelCase__   =mean(
						    int(is_in_circle(uniform(-1.0  ,       1.0							)  ,       uniform(-1.0  ,       1.0							)							)							)
						    for _ in range(__lowerCAmelCase							)							)
						# The ratio of the area for circle to square is pi/4.
						lowerCamelCase__   =proportion * 4
						print(F'''The estimated value of pi is {pi_estimate}'''							)
						print(F'''The numpy value of pi is {pi}'''							)
						print(F'''The total error is {abs(pi - pi_estimate							)}'''							)





def      lowerCamelCase_					(   __lowerCAmelCase  ,       __lowerCAmelCase  ,       __lowerCAmelCase = 0.0  ,       __lowerCAmelCase = 1.0  ,       )				->   float:




						'''simple docstring'''



						return mean(
						    function_to_integrate(uniform(__lowerCAmelCase  ,       __lowerCAmelCase							)							) for _ in range(__lowerCAmelCase							)							) * (max_value - min_value)





def      lowerCamelCase_					(   __lowerCAmelCase  ,       __lowerCAmelCase = 0.0  ,       __lowerCAmelCase = 1.0							)				->   None:




						'''simple docstring'''



						def identity_function(__lowerCAmelCase							) -> float:
												return x

						lowerCamelCase__   =area_under_curve_estimator(
						    __lowerCAmelCase  ,       __lowerCAmelCase  ,       __lowerCAmelCase  ,       __lowerCAmelCase							)
						lowerCamelCase__   =(max_value * max_value - min_value * min_value) / 2

						print("******************"							)
						print(F'''Estimating area under y=x where x varies from {min_value} to {max_value}'''							)
						print(F'''Estimated value is {estimated_value}'''							)
						print(F'''Expected value is {expected_value}'''							)
						print(F'''Total error is {abs(estimated_value - expected_value							)}'''							)
						print("******************"							)





def      lowerCamelCase_					(   __lowerCAmelCase							)				->   None:




						'''simple docstring'''



						def function_to_integrate(__lowerCAmelCase							) -> float:
												return sqrt(4.0 - x * x							)

						lowerCamelCase__   =area_under_curve_estimator(
						    __lowerCAmelCase  ,       __lowerCAmelCase  ,       0.0  ,       2.0							)

						print("******************"							)
						print("Estimating pi using area_under_curve_estimator"							)
						print(F'''Estimated value is {estimated_value}'''							)
						print(F'''Expected value is {pi}'''							)
						print(F'''Total error is {abs(estimated_value - pi							)}'''							)
						print("******************"							)


if __name__ == "__main__":
	import doctest

	doctest.testmod()


